# Analytic Geometry II (MATH122) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Analytic Geometry II MATH122 2. Semester 3 0 0 2 6
Pre-requisite Course(s)
None
Course Language English Compulsory Departmental Courses Bachelor’s Degree (First Cycle) Face To Face Lecture, Question and Answer, Team/Group. The course is designed as a continuation of MATH121 Analytic Geometry I and aims to recover rotation and translations in plane, to have some basic ideas about vectors in 3-space with some of their applications, lines and planes in 3-space and surfaces in 3-space together with their graphs. The students who succeeded in this course; understand and use the rotation and translation in plane understand Cartesian coordinates in 3-space, lines and planes in 3-space understand vectors in 3-space learn basic surfaces in 3-space like cylinders and surfaces of revolutions and be able to sketch the graph of quadric surfaces and quadratic equations Cartesian coordinates in 3-space, vectors, lines and planes, basic surfaces, cylinders, surface of revolutions.

### Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 Cartesian Coordinates in 3-space, VECTORS IN THREE SPACE: Directed Segments and Vectors pp.50-53, pp.124-126
2 Algebra of Vectors in 3-Space pp.127-131
3 Scalar Product, Angle Between Two Vectors pp.132-133
4 2x2 and 3x3 Matrices and Determinants pp.166-168, pp.203-216
5 Cross Products pp.134-136
6 Lines in 3-Space pp.137-143
7 Midterm Exam
8 Planes pp.144-149
9 Distance From a Point to a Plane or to a Line pp.150-154
10 Families of Planes or Lines pp.155-157
11 Intersection of Three Planes pp.186-187
12 SURFACES: Spheres and Cylinders pp.231-233
13 Surfaces of Revolution pp.234-236
14 Canonical Equations of the Quadric Surfaces pp.237-245
15 Review
16 Final Exam

### Sources

Course Book 1. Analytic Geometry, H. İ. Karakaş, M V (ODTÜ Matematik Vakfı).

### Evaluation System

Attendance/Participation - -
Laboratory - -
Application - -
Field Work - -
Special Course Internship - -
Quizzes/Studio Critics - -
Homework Assignments 5 10
Presentation - -
Project - -
Report - -
Seminar - -
Midterms Exams/Midterms Jury 2 50
Final Exam/Final Jury 1 40
Toplam 8 100
 Percentage of Semester Work 60 40 100

### Course Category

Core Courses X

### The Relation Between Course Learning Competencies and Program Qualifications

# Program Qualifications / Competencies Level of Contribution
1 2 3 4 5
1 Has the ability to apply scientific knowledge gained in the undergraduate education and to expand and extend knowledge in the same or in a different area X
2 Can apply gained knowledge and problem solving abilities in inter-disciplinary research X
3 Has the ability to work independently within research area, to state the problem, to develop solution techniques, to solve the problem, to evaluate the obtained results and to apply them when necessary X
4 Takes responsibility individually and as a team member to improve systematic approaches to produce solutions in unexpected complicated situations related to the area of study X
5 Can develop strategies, implement plans and principles on the area of study and can evaluate obtained results within the framework X
6 Can develop and extend the knowledge in the area and to use them with scientific, social and ethical responsibility X
7 Has the ability to follow recent developments within the area of research, to support research with scientific arguments and data, to communicate the information on the area of expertise in a systematically by means of written report and oral/visual presentation X
8 To have an oral and written communication ability in at least one of the common foreign languages ("European Language Portfolio Global Scale", Level B2) X
9 Has software and hardware knowledge in the area of expertise, and has proficient information and communication technology knowledge X
10 Follows scientific, cultural, and ethical criteria in collecting, interpreting and announcing data in the research area and has the ability to teach. X
11 Has professional ethical consciousness and responsibility which takes into account the universal and social dimensions in the process of data collection, interpretation, implementation and declaration of results in mathematics and its applications. X

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours)
Laboratory
Application
Special Course Internship
Field Work
Study Hours Out of Class 14 3 42
Presentation/Seminar Prepration
Project
Report
Homework Assignments 5 5 25
Quizzes/Studio Critics
Prepration of Midterm Exams/Midterm Jury
Prepration of Final Exams/Final Jury 1 15 15